{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "480765be",
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.io import fits\n",
    "import HAWCtoHerschel as HtoH"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5477674",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Source information\n",
    "SourceName = 'G49'\n",
    "FullName = 'G49.21−0.34'\n",
    "# Loading the fits files\n",
    "SourceT = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Tdust_10_10.fits')\n",
    "SourceN = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_N_10_10.fits')\n",
    "SourcePol = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Gal.fits')\n",
    "SourcePlanck = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Planck.fits')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8fbf97a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot parameters\n",
    "ScaleLength = 0.0106103 # 0.0100519 # 1 pc in degrees for the target\n",
    "\n",
    "# Region location, width, and height\n",
    "l_center = 49.0683347 # Position in galactic longitude (degrees)\n",
    "b_center = -0.3042240 # Position in galactic latitude (degrees)\n",
    "l_width = 0.5132111 # Width in galactic longitude (degrees)\n",
    "b_height = 0.2383201 # Height in galactic latitude (degrees)\n",
    "Region = [l_center,b_center,l_width,b_height]\n",
    "\n",
    "# Intensity contours for the plot\n",
    "Icontours = [20, 50, 80, 110, 140] # in mJy/arcsec^2\n",
    "# Ranges for plots\n",
    "Nscale = [0,1.5e+22] # Range for column density in cm^-2\n",
    "Tscale = [20.0,40.0] # Range for temperature map in K\n",
    "Iscale = [0.0,50.0] # Range for intensity map in mJy/arcsec^2\n",
    "# Vector scaling fraction in polarization plots\n",
    "Pvscale = 0.6\n",
    "\n",
    "# Figure size\n",
    "MapFigSize = [10.67,6] # in inches\n",
    "\n",
    "# Effective HAWC+ beam size to use\n",
    "HAWCBeam = 0.00519 # 18.7'' in Band E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a2a163b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Beam Size of polarization data\n",
      "18.2\n",
      "Beam size of target pojection\n",
      "36.395999999999994\n",
      "Pixel size of the polarization data\n",
      "4.550000000000001\n",
      "Pixel size of the target projection\n",
      "14.0000004\n",
      "Target standard deviation for smoothing in arcseconds\n",
      "13.384761981071023\n",
      "Target standard deviation for smoothing in pixels\n",
      "2.941705929905719\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: nan_treatment='interpolate', however, NaN values detected post convolution. A contiguous region of NaN values, larger than the kernel size, are present in the input array. Increase the kernel size to avoid this. [astropy.convolution.convolve]\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:96: RuntimeWarning: invalid value encountered in divide\n",
      "  dPI = ((StokesQ*dQ)**2.0 + (StokesU*dU)**2.0)**0.5/PI_biased\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:106: RuntimeWarning: invalid value encountered in divide\n",
      "  P_biased = 100.0*PI_biased/StokesI\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:109: RuntimeWarning: invalid value encountered in divide\n",
      "  dP = np.absolute(P_biased*((dPI/PI_biased)**2.0 + (dI/StokesI)**2.0)**0.5)\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:120: RuntimeWarning: invalid value encountered in divide\n",
      "  dO = (0.5*180.0/math.pi)*((StokesQ*dU)**2.0 +\n"
     ]
    }
   ],
   "source": [
    "# Reprojecting the HAWC+ Stokes data to the Herschel pixel scale\n",
    "NewPol = HtoH.ReprojectCube(SourcePol,SourceN, Smooth=True)\n",
    "#NewPol.writeto('test2.fits', overwrite=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "31eb9087",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:228: RuntimeWarning: invalid value encountered in divide\n",
      "  imask_01 = np.where(Pdata[0].data/Pdata[1].data < IdI) # Total intensity SNR threshold\n"
     ]
    }
   ],
   "source": [
    "# Creating downsampled vector catalogs (independent vectors)\n",
    "# Creating the mask for the region\n",
    "DownsampleMask = HtoH.DownsampleVectors(NewPol,Step=2)\n",
    "# Creating the new catalogs for the region\n",
    "CatI, CatdI, CatQ, CatdQ, CatU, CatdU, CatP, CatdP, CatO, CatB,CatdO, CatPI, CatdPI, CatN, CatT = HtoH.MakePCats(SourceN, SourceT, SourcePol, NewPol, CatMask=DownsampleMask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2c4fb0cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===\n",
      "Curve fit test\n",
      "Log scale fit: (-0.6030186788930484,37.05082261779047)\n",
      "Direct power law fit: (-0.6036649514500695,39.345293300282485)\n",
      "===\n",
      "\n",
      "Power law index: -0.6030186788930484 ± 0.022618817289256198\n",
      "Coefficient: 37.05082261779047 ± 2.9000805171295614\n",
      "Chi-Squared: 1636.4584995699981\n",
      "Number of elements: 304\n",
      "Reduced Chi-Squared: 5.41873675354304\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PvI_plot_Step2 = HtoH.PvI(CatP, CatdP, CatI, Iscale=[2.0,900.0], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "59006181",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Power law index: -0.6216164602753937 ± 0.033018091118799456\n",
      "Coefficient: 210349846252855.7 ± 350534365807493.75\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the column density\n",
    "PvN_plot_Step2 = HtoH.PvN(CatP, CatdP, CatN, Nscale=[0.8e+21,10e+22], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c49996f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the dust column density\n",
    "PvT_plot_Step2 = HtoH.PvT(CatP, CatT, Tscale=[18,38], Pscale=[0.0,30.0], CatdP=CatdP, errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "491d0620",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Saving figures\n",
    "# PNG\n",
    "PvI_plot_Step2.savefig('Plots/'+SourceName+'_PvI_plot_Step2.png',dpi=300)\n",
    "PvN_plot_Step2.savefig('Plots/'+SourceName+'_PvN_plot_Step2.png',dpi=300)\n",
    "PvT_plot_Step2.savefig('Plots/'+SourceName+'_PvT_plot_Step2.png',dpi=300)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "PoLiteWIP",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
